Chicopee Public Schools: English Language Learners Curriculum

 Benchmarks and Outcomes (ELPBO)

 

Grade: 3rd Grade                                        Subject: Math                          Strand: (1) Number sense and operations

 

Academic Benchmarks / Skills (4.N.1 to 4.N. 18):

  1. Exhibit an understanding of the base ten number system by reading, modeling, writing, and interpreting whole numbers to at least 100,000; demonstrating an understanding of the values of the digits; and comparing and ordering the numbers. (4.N.1)
  2. Represent, order, and compare large numbers (to at least 100,000) using various forms, including expanded notation, e.g., 853 = 8 x 100 + 5 x 10 + 3. (4.N.2)
  3. Demonstrate an understanding of fractions as parts of unit wholes, as parts of a collection, and as locations on the number line. (4.N.3)
  4. Select, use, and explain models to relate common fractions and mixed numbers (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, 1/12, and 11/2), find equivalent fractions, mixed numbers, and decimals, and order fractions. (4.N.4)
  5. Identify and generate equivalent forms of common decimals and fractions less than one whole (halves, quarters, fifths, and tenths). (4.N.5)
  6. Exhibit an understanding of the base ten number system by reading, naming, and writing decimals between 0 and 1 up to the hundredths. (4.N.6)
  7. Recognize classes (in particular, odds, evens; factors or multiples of a given number; and squares) to which a number may belong, and identify the numbers in those classes. Use these in the solution of problems. (4.N.7)
  8. Select, use, and explain various meanings and models of multiplication and division of whole numbers. Understand and use the inverse relationship between the two operations. (4.N.8)
  9. Select, use, and explain the commutative, associative, and identity properties of operations on whole numbers in problem situations, e.g., 37 x 46 = 46 x 37, (5 x 7) x 2 = 5 x (7 x 2). (4.N.9)
  10. Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems, including those involving money. (4.N.10)
  1. Know multiplication facts through 12 x 12 and related division facts. Use these facts to solve related multiplication problems and compute related problems, e.g., 3 x 5 is related to 30 x 50, 300 x 5, and 30 x 500. (4.N.11)

12. Add and subtract (up to five-digit numbers) and multiply (up to three digits by two digits)

     accurately and efficiently. (4.N.12)

13.  Divide up to a three-digit whole number with a single-digit divisor (with or without

          remainders) accurately and efficiently. Interpret any remainders. (4.N.13)

14.  Demonstrate in the classroom an understanding of and the ability to use the conventional

     algorithms for addition and subtraction (up to five-digit numbers), and multiplication (up to

     three digits by two digits). (4.N.14)

15.  Demonstrate in the classroom an understanding of and the ability to use the conventional   algorithm for division of up to a three-digit whole number with a single-digit divisor (with or    without remainders). (4.N.15)

16.  Round whole numbers through 100,000 to the nearest 10, 100, 1000, 10,000, and 100,000. (4.N.16)

17.  Select and use a variety of strategies (e.g., front-end, rounding, and regrouping) to estimate quantities, measures, and the results of whole-number computations up to three-digit whole numbers and amounts of money to $1000, and to judge the reasonableness of the answer. (4.N.17)

18.  Use concrete objects and visual models to add and subtract common fractions. (4.N.18)

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

S1.1 Demonstrate comprehension of everyday words and phrases, using pictures, actions, and/or objects.

 

S1.3 Demonstrate comprehension of vocabulary essential for grade-level content learning, using pictures, actions, and / or objects.

 

S3.1 Demonstrate comprehension of oral directions that include visual cues.

 

R1.3a Use labeled text illustrations, charts, and other graphics to increase comprehension of vocabulary.

S1.4 Express basic personal needs and information, and school-related information, using words and phrases.

 

S3.2 Demonstrate comprehension of one-step oral directions.

 

S3.13 Express confusion.

 

R1.1c Read previously learned words that have been classified by themes or topics.

 

S1.5 Employ vocabulary essential for grade level content learning.

 

S3.3 Demonstrate understanding when simple information is given.

 

S3.30 Understands oral questions that are based on academic content.

 

R1.1d Read previously learned words that have been organized by concepts.

 

R1.15 Apply knowledge of word analysis to expand comprehension of vocabulary found in text.

 

S1.29 Demonstrate knowledge of spoken vocabulary related to grade-level academic content.

 

S3.29 Demonstrate comprehension of oral, multiple step directions.

 

S3.62 Summarize information that is heard during a class or lesson.

 

R1.1b Read words previously learned from grade-level content.

 

R1.16 Identify words whose meanings are not readily understood by their context.

 

R3.8 Summarize important ideas from a text and represent the relationships between or among them.

 

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

R2.3 Recognize that printed text has a specific form and carries meaning.

 

 

 

 

 

 

 

  

Academic Benchmarks / Skills (4.P.1 to 4.P.6):

1.       Create, describe, extend, and explain symbolic (geometric) and numeric patterns, including multiplication patterns like 3, 30, 300, 3000,…  (4.P.1)

2.     Use symbol and letter variables (e.g., ∆, x) to represent unknowns or quantities that vary in expressions and in equations or inequalities (mathematical sentences that use =, <, >).  (4.P.2)

3.     Determine values of variables in simple equations, e.g., 4106 – Ń = 37, 5 = m + 3, and c – m = 3. (4.P.3)

4.     Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships.  (4.P.4)

5.     Solve problems involving proportional relationships, including unit pricing (e.g., four apples cost 80˘, so one apple costs 20˘) and map interpretation (e.g., one inch represents five miles, so two inches represent ten miles).  (4.P.5)

6.     Determine how change in one variable relates to a change in a second variable, e.g., input-output tables. (4.P.6)

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

S1.1 Demonstrate comprehension of everyday words and phrases, using pictures, actions, and/or objects.

S1.3 Demonstrate comprehension of vocabulary essential for grade-level content learning, using pictures, actions, and / or objects.

 

 

S1.27 Rephrase ideas and thoughts to express meaning.

 

S3.29 Demonstrate comprehension of oral, multiple step directions.

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

S2.4 Demonstrate comprehension of interpersonal conversations when spoken to slowly and with frequent repetitions.

 

S3.1 Demonstrate comprehension of oral directions that include visual cues.

 

R2.2b Identifies labels and signs in the school environment.

 

R2.3 Recognize that printed text has a specific form and carries meaning.

 

S1.4 Express basic personal needs and information such as, (health, food, clothing, weather, recreation), and school information using spoken words and phrases.

 

S2.3 Demonstrate comprehension of simple oral request.

 

S3.2 Demonstrates comprehension of one-step oral directions.

 

S3.3 Demonstrate understanding when simple information is given.

 

S3.12 Make and respond to oral requests.

 

S3.13 Express confusion.

 

S1.25 Demonstrate comprehension in a variety of settings of specific, technical, and / or abstract words and phrases of grade level academic content.

 

S2.5 Ask and answer concrete questions about familiar content.

 

S3.14 Ask and respond to questions to clarify information.

 

S3.30 Understands oral questions that are based on academic content.

 

S3.36 Demonstrate comprehension of specific information heard in an academic context.

 

S3.65 Participate in classroom discussions and other academic interactions using basic and complex sentence structures and addressing abstract topics.

 

R3.4 Support individual interpretations and conclusions, using evidence from a literary or an informational text.

 

W1.3c Arrange events in sequential order when writing or dictating a personal or familiar experience.

 

 

 

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

 

 

R1.1b Read words previously learned from grade-level content.

 

R1.3a Use labeled text illustrations, charts, and other graphics to increase comprehension of vocabulary.

 

 

 

Academic Benchmarks / Skills (4.G.1 to 4.G.9):

1.       Compare and analyze attributes and other features (e.g., number of sides, faces, corners, right angles, diagonals, and symmetry) two- and three-dimensional geometric shapes. (4.G.1)

2.     Describe, model, draw, compare, and classify two- and three- dimensional shapes, e.g., circles, polygons- especially triangles and quadrilaterals- cubes, spheres, and pyramids. (4.G.2)

3.     Recognize similar figures.  (4.G.3)

4.     Identify angles as acute, right, or obtuse.  (4.G.4)

5.     Describe and draw interesting, parallel, and perpendicular lines.  (4.G.5)

6.     Using ordered pairs of numbers and/or letters, graph, locate, identify points, and describe paths (first quadrant).  (4.G.6)

7.     Describe and apply techniques such as reflections (flips), rotations (turns), and translations (slides) for determining if two shapes are congruent.  (4.G.7)

8.     Identify and describe line symmetry in two- dimensional shapes.  (4.G.8)

9.     Predict and validate the results of partitioning, folding, and combining two- and three- dimensional shapes.  (4.G.9)

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

S1.1 Demonstrate comprehension of everyday words and phrases, using pictures, actions, and/or objects.

S1.3 Demonstrate comprehension of vocabulary essential for grade-level content learning, using pictures, actions, and / or objects.

 

S1.27 Rephrase ideas and thoughts to express meaning.

 

 

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

S3.1 Demonstrates comprehension of oral directions that include visual cues.

 

R2.2 Read and understand high-frequency and familiar words and phrases.

 

S3.3 Demonstrate understanding when simple information is given.

 

S3.12 Make and respond to oral requests.

 

S3.14 Ask and respond to questions to clarify information.

 

S3.43 Participate in classroom discussions and activities, when frequent clarification is given.

 

R1.1a Reads and understands words that have been presented as images, objects, or in print.

 

R2.1a Listen to stories read aloud.

 

R2.1b Choose to look at books.

 

R2.1c Repeat words and phrases from text that is read.

S1.25 Demonstrate comprehension in a variety of settings of specific, technical, and / or abstract words and phrases of grade level academic content.

 

S3.30 Demonstrate comprehension of oral questions that are based on academic content.

 

S3.40 Describe how two things within academic content are alike and different.

 

W1.2b List new words and phrases related to the topic of a writing task.

 

S3.65 Participate in classroom discussions and other academic interactions, using basic and complex sentence structures and addressing abstract topics.

 

W1.3c Arrange events in sequential order when writing or dictating a personal or familiar experience.

 

W2.4c List details that describe story events.

 

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

 

 

R2.1d Participate in choral reading.

 

 

 

 

 

  

Academic Benchmarks / Skills (4.M.1 to 4.M.5):

1.       Demonstrate an understanding of such attributes as lengths, area, weight, and volume, and select the appropriate type of unit for measuring each attribute. (4.M.1)

2.     Carry out simple unit conversions within a system of measurement, e.g., hours to minutes, cents to dollars, yards to feet or inches, etc. (4.M.2)

3.     Identify time to the minute on analog and digital clocks using a.m. and p.m. Compute elapsed time using  a clock (e.g., hours and minutes since…) and using a calendar (e.g., days since…). (4.M.3)

4.     Estimate and find area and perimeter of a rectangle, triangle, or irregular shape using diagrams, models, and grids or by measuring. (4.M.4)

5.     Identify and use appropriate metric and English units and tools (e.g., ruler, angle ruler, graduated cylinder, thermometer) to estimate, measure, and solve problems involving length, area, weight, time, angle size, and temperature. (4.M.5)

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

S1.1 Demonstrate comprehension of everyday words and phrases, using pictures, actions, and/or objects.

 

S1.3 Demonstrate comprehension of vocabulary essential for grade-level content learning, using pictures, actions, and / or objects.

 

S2.7 Make simple oral requests and grant permission.

S3.14 Ask and respond to questions to clarify information.

 

S3.40 Describe how two things within academic content are alike and different.

 

S1.25 Demonstrate comprehension in a variety of settings of specific, technical, and/or abstract words and phrases of grade-level, academic content in various Massachusetts Curriculum Frameworks.

 

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

S3.1 Demonstrate comprehension of oral directions that include visual cues.

 

S3.23 Identifies and follows classroom expectations and conventions, such as taking turns.

 

R2.2b Identifies labels and signs in the school environment.

 

 

S3.3 Demonstrate understanding when simple information is given.

 

R1.1a Read previously learned words with personal meaning (such as words about self, family, and school) that have been presented as images, objects, and / or printed text.

 

R2.1a Listen to stories read aloud.

 

R2.1b Choose to look at books.

 

R2.1c Repeat words and phrases from text that is read.

 

R2.1d Participate in choral reading.

 

R2.1e Recite memorized parts of chants, pattern books, and familiar books.

S3.43 Participates in classroom discussions and activities, when frequent clarification is given.

 

R1.1c Read previously learned words that have been classified by themes or topics.

 

W2.4a Draw or sequence pictures to tell or retell a story.

 

S1.27 Rephrase ideas and thoughts to express meaning.

 

S2.44 Demonstrate comprehension of extended explanations and multi-step instructions.

 

S3.35 Identify the topics and organization structures of lecture-style presentations.

 

R3.4g Draw a conclusion from a text.

 

 

ELL Benchmarks (ELPBO)

Beginner

Early Intermediate

Intermediate

Transitioning

 

 

 

R2.1f Use text as well as illustrations to gain meaning of text.

 

R2.1g Recognize that printed text can provide information.

 

R2.1h Recognize that printed text can provide entertainment.

 

R2.1i Demonstrate how to handle a book and turn the pages.

 

R2.1j Identify the covers and title page of a book.

 

R3.1b Make predictions about important information before reading an informational text, using prior knowledge, text features, and visual cues.

 

W2.2b Dictate sentences that give information.

 

 

 

 

 

References: Houghton-Mifflin 2005, Massachusetts Math Frameworks and the English Language Learners Proficiency Benchmarks and Outcomes for English Language Learners

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